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Qns(1)==>given perimeter of rhombus is 28
==> side of rhombus = 28/4= 7 cm ( all sides are equal in rhombus)
now given area of rhombus = 98 cm^2
==> so we know the formula = A = S*H(altitude)
==> 98 = 7*H
==>98/7= h
==> 14 = h
so we got altitude of rhombus is 14 cm
Qns (2)
==>radius of wire = 42
==>length of wire = 2πr
==>2*22/7*42= 264 cm
==> let common ratio of rectangle is X
==>perimeter of rectangle = 2(l*b)
==> 2(6x+5x)= 22 x cm
==> 22x = 264
==> X= 264/22 = 12
==> now we know that 5 is smaller than 6 So smaller side
==> 5*12= 60 cm
Qns (3)
given condition = circumference of circle and area of circle is equal
==> so we know circumference of circle = 2πr
==> area of circle is = πr^2
==> according to condition
==>2πr = πr^2
==> 2=πr^2/ πr
==> 2 = r
so as we know diameter is 2*r
2*2= 4 cm diameter (answer)
Qns(4)
Area of lawn = 5/16 hectare
==>1 hectare = 10000 sqm
==> 10000*5/16= 3125 sqm
==> let common ratio of base and hight is X
==>1x*5x=3125
==>5x^2 = 3125
==>x^2 = 3125/5= 625
==> X= √625 = 25
put X value in ratio
1*x= 25 base
5*x(25)= 125 m
hope it helps
Qns(1)==>given perimeter of rhombus is 28
==> side of rhombus = 28/4= 7 cm ( all sides are equal in rhombus)
now given area of rhombus = 98 cm^2
==> so we know the formula = A = S*H(altitude)
==> 98 = 7*H
==>98/7= h
==> 14 = h
so we got altitude of rhombus is 14 cm
Qns (2)
==>radius of wire = 42
==>length of wire = 2πr
==>2*22/7*42= 264 cm
==> let common ratio of rectangle is X
==>perimeter of rectangle = 2(l*b)
==> 2(6x+5x)= 22 x cm
==> 22x = 264
==> X= 264/22 = 12
==> now we know that 5 is smaller than 6 So smaller side
==> 5*12= 60 cm
Qns (3)
given condition = circumference of circle and area of circle is equal
==> so we know circumference of circle = 2πr
==> area of circle is = πr^2
==> according to condition
==>2πr = πr^2
==> 2=πr^2/ πr
==> 2 = r
so as we know diameter is 2*r
2*2= 4 cm diameter (answer)
Qns(4)
Area of lawn = 5/16 hectare
==>1 hectare = 10000 sqm
==> 10000*5/16= 3125 sqm
==> let common ratio of base and hight is X
==>1x*5x=3125
==>5x^2 = 3125
==>x^2 = 3125/5= 625
==> X= √625 = 25
put X value in ratio
1*x= 25 base
5*x(25)= 125 m
hope it helps
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